Scientific Notation Concepts

This video tutorial covers the basics of scientific notation, including how to convert between decimal and scientific notation, and how to multiply and divide numbers in scientific notation. It explains the format of scientific notation and provides examples to illustrate the conversion process. The tutorial also demonstrates how to perform calculations using scientific notation and verify results using a calculator.

What is the scientific notation for the U.S. national debt of 30.7 trillion dollars?

• 3.07 x 10^12

• 3.07 x 10^13

• 30.7 x 10^13

• 30.7 x 10^12

If the exponent in scientific notation is negative, what happens to the decimal point when converting to decimal notation?

• It stays in the same place.

• It disappears.

• It moves to the right.

• It moves to the left.

How many zeros are added when converting 1.245 x 10^10 to decimal notation?

• 10

• 8

• 7

• 9

What is the first step in converting a decimal number to scientific notation?

• Move the decimal to form a number between 1 and 10.

• Multiply by 10.

• Divide by 10.

• Add zeros to the number.

When converting a large decimal number to scientific notation, what is the sign of the exponent?

• Zero

• Positive

• Negative

• Fractional

What is the result of multiplying 7.1 x 10^3 by 1.3 x 10^4 in scientific notation?

• 9.23 x 10^6

• 9.23 x 10^7

• 1.3 x 10^7

• 7.1 x 10^7

What adjustment is needed if the product of two numbers in scientific notation is not between 1 and 10?

• Add zeros to the product.

• Adjust the exponent to fit the correct form.

• Change the order of multiplication.

• Convert the product to scientific notation.

How do you divide numbers in scientific notation?

• Subtract the bases and divide the exponents.

• Multiply the bases and add the exponents.

• Divide the bases and subtract the exponents.

• Add the bases and multiply the exponents.

What is the scientific notation for 0.179 x 10^-9?

• 1.79 x 10^-10

• 0.179 x 10^-8

• 0.179 x 10^-10

• 1.79 x 10^-9

Which tool can be used to verify calculations in scientific notation?

• Ruler

• Protractor

• Graphing calculator

• Abacus